# Elongated triangular gyrobicupola

Elongated triangular gyrobicupola | |
---|---|

Rank | 3 |

Type | CRF |

Notation | |

Bowers style acronym | Etigybcu |

Coxeter diagram | oxxx3xxxo&#xt |

Elements | |

Faces | |

Edges | 6+6+6+6+12 |

Vertices | 6+12 |

Vertex figures | 6 rectangles, edge lengths 1 and √2 |

12 isosceles trapezoids, edge lengths 1, √2, √2, √2 | |

Measures (edge length 1) | |

Volume | |

Dihedral angles | 3–4 join: |

4–4 join: | |

3–4 cupolaic: | |

4–4 prismatic: 120° | |

Central density | 1 |

Number of external pieces | 20 |

Level of complexity | 12 |

Related polytopes | |

Army | Etigybcu |

Regiment | Etigybcu |

Dual | Gyrodeltodeltoidal octadecahedron |

Conjugate | None |

Abstract & topological properties | |

Flag count | 144 |

Euler characteristic | 2 |

Surface | Sphere |

Orientable | Yes |

Genus | 0 |

Properties | |

Symmetry | (G_{2}×A_{1})/2, order 12 |

Flag orbits | 12 |

Convex | Yes |

Nature | Tame |

The **elongated triangular gyrobicupola** (OBSA: **etigybcu**) is one of the 92 Johnson solids (J_{36}). It consists of 2+6 triangles and 6+6 squares. It can be constructed by inserting a hexagonal prism between the two halves of the cuboctahedron, seen as a triangular gyrobicupola.

## Vertex coordinates[edit | edit source]

An elongated triangular gyrobicupola of edge length 1 has the following vertices:

- ,
- ,
- ,
- .

## External links[edit | edit source]

- Klitzing, Richard. "etigybcu".
- Quickfur. "The Elongated Triangular Gyrobicupola".

- Wikipedia contributors. "Elongated triangular gyrobicupola".
- McCooey, David. "Elongated Triangular Gyrobicupola"